Mrs Soh gave Diana and Pamela some money each on Thursday. On Friday, Diana gave
14 of the amount she had to Pamela. On Saturday, Pamela gave
13 of the amount she had to Diana. In the end, Diana had $30 and Pamela had $12. How much did Pamela had more than Diana at first?
| |
Diana |
Pamela |
Total |
| Before 1 |
4 u |
? |
$42 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
3 u |
3 p |
$42 |
| Before 2 |
$30 - 1 p |
3 p |
$42 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$30 |
2 p
($12) |
$42 |
Amount that Pamela had in the end = 2 p
2 p = 12
1 p = 12 ÷ 2 = 6
Working backwards.
Amount that Diana had after giving to Pamela on Friday
= 30 - 1 p
= 30 - 6
= $24
3 u = 24
1 u = 24 ÷ 3 = 8
Amount that Diana had at first
= 4 u
= 4 x 8
= $32
Total amount that Diana and Pamela had
= 30 + 12
= $42
Amount that Pamela had at first
= 42 - 32
= $10
Amount that Diana had more than Pamela
= 32 - 10
= $22
Answer(s): $22
